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## Homework Statement

Consider the three displacement vectors

A=(3i-3j) m

B=(i-4j) m

C=(-2i+5j) m

Use the component method to determine (a) the magnitude and direction of the vector:

D= A+B+C and

(b) the magnitude and direction of:

E=-A-B+C

## Homework Equations

## The Attempt at a Solution

I did A+B+C which resulted in

2i-2j. I put them in the equation to find the magnitude which is

sqrt (2^2+(-2)^2) which resulted in 8. Square root of 8 is 2.82, but the back of the book says the answer is 4.47.

What am I doing wrong?

Thanks for any assistance!

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